Problem #55: Carnival Dice

A carnival game offers you the opportunity to bet $1 on a number from 1 through 6 on a single roll of the two dice. If your number comes up on one die, you win $2 and keep th $1 you be. If it comes on both dice, you win $5 and keep the $1 you bet. Only if the number does not appear on either die do you lose your $1 bet. Does this game favor you or the carnival?
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